How do you factor 36x ^ { 4} - 27x ^ { 3} + 45x ^ { 2}?

1 Answer
Jun 7, 2017

9x^2(4x^2-3x+5)

Explanation:

To factor out the problem we need to figure out the factor of 35,-27, and 45.

9 is our magic number, we also need to factor out x to do this we get the smallest amount of x that is available which is x^2.

So, our factor is 9x^2.

9x^2(4x^2-3x+5) is the answer. To check this you can distribute it out and you will arrive to the original problem.